It is to be ntoed that the graph of the function f, defined by f(x)=x³-6 x+7 is attached accordingly.
The graph of the cubic function f(x)=x³-6 x+7 exhibits characteristics typical of cubic curves.
It has a single inflection point, suggesting a change in concavity. The turning point occurs at x ≈ 1.6, where the graph transitions from concave upward to concave downward.
The function intersects the y-axis at (0, 7), emphasizing the y-intercept. The curve also intersects the x-axis at real roots, showcasing points where f(x) =0.
Overall, the graph illustrates the behavior of a cubic function with distinctive features and key points.